GCD of 748, 702, 845, 313 Calculator

Given Input numbers are 748, 702, 845, 313

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (748, 702, 845, 313) = 1.

Given numbers are 748, 702, 845, 313

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 845 are 5 x 13 x 13

Prime factors of 313 are 313

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 702, 845, 313

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 702) = 262548

GCD(748, 702) = ( 748 x 702 ) / 262548

= 748 / 702

= 748

Step2:

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

= 2 / 845

= 2

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 748, 702, 845, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 867, 710, 730
• GCD of 718, 234, 901, 803
• GCD of 215, 988, 442, 216
• GCD of 532, 553, 812, 317
• GCD of 315, 521, 663, 598

Given numbers are 748, 702, 845, 313
The greatest common divisor of numbers 748, 702, 845, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 702, 845, 313 is 1.

1. What is the GCD of 748, 702, 845, 313?

GCD of given numbers 748, 702, 845, 313 is 1

2. How to calculate the greatest common divisor of 748, 702, 845, 313?

We can find the highest common divisor of 748, 702, 845, 313 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 702, 845, 313 i.e 1.

3. How can I use the GCD of 748, 702, 845, 313Calculator?

Out the numbers 748, 702, 845, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.